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Finding the Fourth Proportional to 342.77, 514.16 and 205.75

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Solution

The fourth proportional to 342.77, 514.16 and 205.75 is: 308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.77 : 514.16 = 205.75 : x
  2. Step 2: Convert to fraction form
    342.77/514.16 = 205.75/x
  3. Step 3: Cross multiply
    342.77x = 514.16 × 205.75
  4. Step 4: Simplify right side
    342.77x = 105,788.42
  5. Step 5: Solve for x
    x = 105,788.42/342.77
  6. Step 6: Final answer
    x = 308.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.